A lower bound for $K_{X}L$ of quasi-polarized surfaces $(X,L)$ with non-negative Kodaira dimension
| dc.creator | Fukuma, Yoshiaki | |
| dc.date | 1996-07-15 | |
| dc.date.accessioned | 2026-07-07T09:06:52Z | |
| dc.date.available | 2026-07-07T09:06:52Z | |
| dc.description | Let $X$ be a smooth projective surface over the complex number field and let $L$ be a nef-big divisor on $X$. Here we consider the following conjecture; If the Kodaira dimension $κ(X)\geq 0$, then $K_{X}L\geq 2q(X)-4$, where $q(X)$ is the irregularity of $X$. In this paper, we prove that this conjecture is true if (1) the case in which $κ(X)=0$ or 1, (2) the case in which $κ(X)=2$ and $h^{0}(L)\geq 2$, or (3) the case in which $κ(X)=2$, $X$ is minimal, $h^{0}(L)=1$, and $L$ satisfies some conditions. | |
| dc.description | AMS-TeX v2.1, 29pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9607013 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9607013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150171 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20 | |
| dc.title | A lower bound for $K_{X}L$ of quasi-polarized surfaces $(X,L)$ with non-negative Kodaira dimension | |
| dc.type | text |